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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 827 · 40 questions
TalentJR

The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).

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  1. 1.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  2. 2.12 : 2 = 48 : ?
  3. 3.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
  4. 4.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
  6. 6.Divide ₹116 between Rohan and Sneha in the ratio 3 : 1. How much does Rohan get (in ₹)?
  7. 7.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  8. 8.Divide ₹138 between Ananya and Arjun in the ratio 1 : 2. How much does Ananya get (in ₹)?
  9. 9.Divide ₹507 between Isha and Rahul in the ratio 4 : 9. How much does Isha get (in ₹)?
  10. 10.9 : 4 = 27 : ?
  11. 11.The ratio of boys to girls in a class is 7 : 2. There are 49 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  13. 13.3 : 13 = 12 : ?
  14. 14.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  15. 15.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
  16. 16.3 : 6 = 21 : ?
  17. 17.Divide ₹572 between Aarav and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
  18. 18.Divide ₹336 between Arjun and Kavya in the ratio 3 : 5. How much does Arjun get (in ₹)?
  19. 19.Divide ₹184 between Rohan and Diya in the ratio 7 : 1. How much does Diya get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 4 : 3. There are 16 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
  23. 23.9 : 11 = 72 : ?
  24. 24.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  25. 25.6 : 13 = 24 : ?
  26. 26.8 : 15 = 64 : ?
  27. 27.Divide ₹175 between Tara and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
  28. 28.12 : 3 = 24 : ?
  29. 29.Divide ₹396 between Rohan and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  30. 30.Divide ₹116 between Vivaan and Pooja in the ratio 1 : 3. How much does Vivaan get (in ₹)?
  31. 31.7 : 15 = 63 : ?
  32. 32.8 : 2 = 56 : ?
  33. 33.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  34. 34.3 : 8 = 24 : ?
  35. 35.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
  36. 36.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
  37. 37.11 : 14 = 99 : ?
  38. 38.9 : 15 = 27 : ?
  39. 39.Divide ₹78 between Arjun and Nisha in the ratio 2 : 1. How much does Arjun get (in ₹)?
  40. 40.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).

Answer key

  1. 225
  2. 8
  3. 3
  4. 32
  5. 36
  6. 87
  7. 45
  8. 46
  9. 156
  10. 12
  11. 14
  12. 63
  13. 52
  14. 75
  15. 14
  16. 42
  17. 156
  18. 126
  19. 23
  20. 7
  21. 12
  22. 10
  23. 88
  24. 32
  25. 52
  26. 120
  27. 35
  28. 6
  29. 88
  30. 29
  31. 135
  32. 14
  33. 48
  34. 64
  35. 56
  36. 10
  37. 126
  38. 45
  39. 52
  40. 128

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